Establishing Traveling Wave in Bistable Reaction-Diffusion System by Feedback

  title={Establishing Traveling Wave in Bistable Reaction-Diffusion System by Feedback},
  author={Pierre-Alexandre Bliman and Nicolas Vauchelet},
  journal={IEEE Control Systems Letters},
Several stains of the intracellular parasitic bacterium Wolbachia limit severely the competence of the mosquitoes Aedes aegypti as a vector of dengue fever and possibly other arboviroses. For this reason, the release of mosquitoes infected by this bacterium in natural populations is presently considered a promising tool in the control of these diseases. Following works by Barton and Turelli and subsequently Strugarek et al., we consider a simple scalar reaction-diffusion model describing the… 

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